{
  "id": "math/0604350",
  "version": "v2",
  "published": "2006-04-15T17:36:48.000Z",
  "updated": "2008-09-25T05:22:55.000Z",
  "title": "Continuum tree asymptotics of discrete fragmentations and applications to phylogenetic models",
  "authors": [
    "Bénédicte Haas",
    "Grégory Miermont",
    "Jim Pitman",
    "Matthias Winkel"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/07-AOP377 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2008, Vol. 36, No. 5, 1790-1837",
  "doi": "10.1214/07-AOP377",
  "categories": [
    "math.PR"
  ],
  "abstract": "Given any regularly varying dislocation measure, we identify a natural self-similar fragmentation tree as scaling limit of discrete fragmentation trees with unit edge lengths. As an application, we obtain continuum random tree limits of Aldous's beta-splitting models and Ford's alpha models for phylogenetic trees. This confirms in a strong way that the whole trees grow at the same speed as the mean height of a randomly chosen leaf.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-09-25T05:22:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60J80"
    ],
    "keywords": [
      "continuum tree asymptotics",
      "phylogenetic models",
      "application",
      "natural self-similar fragmentation tree",
      "continuum random tree limits"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4350H"
    }
  }
}